Wallace, T.P.[Timothy P.],
Wintz, P.A.[Paul A.],
An Efficient Three-Dimensional Aircraft Recognition Algorithm
Using Normalized Fourier Descriptors,
CGIP(13), No. 2, June 1980, pp. 99-126.
WWW Version.
0501
BibRef
Earlier:
3-Dimensional Aircraft Recognition Using Fourier Descriptors,
DARPAO77(55-63).
Recognize Aircraft.
Fourier Descriptors. The basic Fourier contour recognition paper.
BibRef
Wallace, T.P., and
Wintz, P.A.,
Shape Information Extraction,
In Purdue Report for November 1976- January 1977.
PurdueTR-77-16, March 1977.
Fourier Descriptors. Fourier descriptor; averaging 2
Fourier descriptors and inverting gives an average object; try it for 3-D views
so that only a few need to be stored; the BLOB program returns to generate the
contours.
BibRef
7703
Wallace, T.P., and
Mitchell, O.R.,
Analysis of Two-Dimensional Movement Using Fourier Descriptors,
PAMI(2), No. 6, November 1980, pp. 583-588.
Tracking. Builds the convex hull of a model of a contour.
BibRef
8011
Wallace, T.P.,
Mitchell, O.R., and
Fukunaga, K.,
Three-Dimensional Shape Analysis Using Local Shape Descriptions,
PAMI(3), No. 3, May 1981, pp. 310-323.
BibRef
8105
Earlier:
Three-Dimensional Shape Analysis Using Local Shape Descriptors,
PRIP79(292-299).
BibRef
Wallace, T.P.,
Wintz, P.A., and
Mitchell, O.R.,
Advances in Shape Description with Application to Three-Dimensional
Aircraft Recognition,
DARPAN78(37-47).
BibRef
7800
Yoo, M.Y., and
Huang, T.S.,
Pattern Recognition by Fourier Shape Descriptor,
In Purdue Report for November 1976- January 1977.
PurdueTR-77-16, March 1977.
Properties of Fourier domain parts and combinations.
BibRef
7703
Persoon, E., and
Fu, K.S.,
Shape Discrimination Using Fourier Descriptors,
SMC(7), No. 3, March 1977, pp. 170-179.
BibRef
7703
And:
Reprinted:
PAMI(8), No. 3, May 1986, pp. 388-397.
BibRef
Earlier:
ICPR74(126-130).
Code, Fourier.
HTML Version.
BibRef
Crimmins, T.R.,
A Complete Set of Fourier Descriptors for Two-Dimensional Shapes,
SMC(12), 1982, pp. 848-855.
BibRef
8200
Mitchell, O.R., and
Grogan, T.,
Global and Partial Shape Discrimination for Computer Vision,
OptEng(23), No. 5, September 1984, pp. 484-491.
Fourier Descriptors. Discussion of curvature functions for contour descriptions
invariant under translation and rotation.
BibRef
8409
Sato, Y., and
Honda, I.,
Pseudodistance Measures for Recognition of Curved Objects,
PAMI(5), No. 4, July 1983, pp. 362-373.
3-D object as a set of slices, Fourier descriptor of the contour
of the slices.
BibRef
8307
Lam, K.P.,
Contour Map Registration Using Fourier Descriptors of Gradient Codes,
PAMI(7), No. 3, May 1985, pp. 332-338.
BibRef
8505
Etesami, F.,
Uicker, Jr., J.J.,
Automatic Dimensional Inspection of Machine Part Cross-Section
Using Fourier Analysis,
CVGIP(29), No. 2, February 1985, pp. 216-247.
WWW Version.
BibRef
8502
Paquet, E.,
Rioux, M.,
Arsenault, H.H.,
Invariant Pattern-Recognition for Range Images Using the
Phase Fourier-Transform and a Neural-Network,
OptEng(34), No. 4, April 1995, pp. 1178-1183.
BibRef
9504
Sheng, A.Y.,
Lejeune, C., and
Arsenault, H.H.,
Frequency-Domain Fourier-Mellin Descriptors for
Invariant Pattern Recognition,
OptEng(27), No. 5, 1988, pp. 354-357.
BibRef
8800
Sheng, A.Y., and
Arsenault, H.H.,
Experiments on Pattern Recognition Using
Invariant Fourier-Mellin Descriptors,
JOSA-A(3), No. 6, June 1986, pp. 771-776.
BibRef
8606
Sheng, Y., and
Arsenault, H.H.,
Noisy-Image Normalization Using Low-Order Radial Moments
of Circular Harmonic Functions,
JOSA-A(4), No. 7, July 1987, pp. 1176-1184.
BibRef
8707
Hsu, Y.N.,
Arsenault, H.H., and
April, G.,
Rotation-Invariant Digital Pattern Recognition
Using Circular Harmonic Expansion,
AppOpt(21), No. 22, 1982, pp. 4012-4015.
BibRef
8200
Hsu, Y.N., and
Arsenault, H.H., and
Optical Pattern Recognition Using Circular Harmonic Expansion,
AppOpt(21), No. 22, 1982, pp. 4016-4019.
BibRef
8200
Lin, C.C., and
Chellappa, R.,
Classification of Partial 2-D Shapes Using Fourier Descriptors,
PAMI(9), No. 5, September 1987, pp. 686-690.
BibRef
8709
Earlier:
CVPR86(344-350).
Fourier Descriptors. Shows that Fourier descriptors do not totally lose when pieces are
missing, occlusions are ignored though.
BibRef
Arbter, K.,
Snyder, W.E.,
Burkhardt, H., and
Hirzinger, G.,
Application of Affine-Invariant Fourier Descriptors to
Recognition of 3-D Objects,
PAMI(12), No. 7, July 1990, pp. 640-647.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Fourier Descriptors.
BibRef
9007
Wang, Y.F.,
Magee, M.J., and
Aggarwal, J.K.,
Matching Three-Dimensional Objects Using Silhouettes,
PAMI(6), No. 4, July 1984, pp. 513-518.
Fourier Descriptors. An initial set of silhouettes are used to generate a 3-D model of
the object. From this 3 principal silhouettes are derived. The
sequence of inputs is also used to generate a 3-D structure
(
See also Geometric Modeling for Computer Vision. )
and this is used for the matching. When the
results are stable the match is known. This paper is a source for
references to Fourier descriptor based matching references.
BibRef
8407
Krzyzak, A.,
Leung, S.Y.,
Suen, C.Y.,
Reconstruction of Two-Dimensional Patterns from Fourier Descriptors,
MVA(2), 1989, pp. 123-140.
BibRef
8900
Earlier:
ICPR88(I: 555-558).
IEEE DOI Reference
8811
BibRef
Wang, S.S.,
Chen, P.C.,
Lin, W.G.,
Invariant Pattern-Recognition by Moment Fourier Descriptor,
PR(27), No. 12, December 1994, pp. 1735-1742.
WWW Version.
BibRef
9412
Kauppinen, H.,
Seppanen, T.,
Pietikainen, M.,
An Experimental Comparison of Autoregressive and
Fourier-Based Descriptors in 2D Shape Classification,
PAMI(17), No. 2, February 1995, pp. 201-207.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
9502
Weng, J.,
Image Matching Using the Windowed Fourier Phase,
IJCV(11), No. 3, December 1993, pp. 211-236.
Springer DOI Reference
BibRef
9312
Weng, J.,
A Theory of Image Matching,
ICCV90(200-209).
IEEE DOI Reference
BibRef
9000
Junior, R.M.C.,
da Fontoura Costa, L.[Luciano],
Towards Effective Planar Shape Representation with Multiscale
Digital Curvature Analysis Based on Signal-processing Techniques,
PR(29), No. 9, September 1996, pp. 1559-1569.
WWW Version.
Digital Curvature Estimation.
Multiscale Representation.
Fourier Descriptors.
Performance Analysis.
BibRef
9609
Fonga, H.,
Pattern-Recognition in Gray-Level Images by Fourier-Analysis,
PRL(17), No. 14, December 30 1996, pp. 1477-1489.
9702
BibRef
Wu, M.F.,
Sheu, H.T.,
Contour-Based Correspondence Using Fourier Descriptors,
VISP(144), No. 3, June 1997, pp. 150-160.
9708 See also 3D Invariant Estimation of Axisymmetrical Objects Using Fourier Descriptors.
See also Efficient and consistent method for superellipse detection.
BibRef
Hawkins, W.G.,
Fourier-Transform Resampling: Theory and Application,
NucSci(44), No. 4, Part 1, August 1997, pp. 1543-1551.
9708
BibRef
Hawkins, W.G.[William G.],
On The Equivalence Of Stable And Unstable Forms Of The Inverse Circular
Harmonic Transform Solution For The Radon Transform,
IJIG(7), No. 1, January 2007, pp. 17-33.
0701
BibRef
Aguado, A.S.[Alberto S.],
Nixon, M.S.[Mark S.],
Montiel, M.E.[M. Eugenia],
Parameterizing Arbitrary Shapes via Fourier Descriptors
for Evidence-Gathering Extraction,
CVIU(69), No. 2, February 1998, pp. 202-221.
WWW Version.
BibRef
9802
Earlier:
Extracting Arbitrary Geometric Primitives Represented by
Fourier Descriptors,
ICPR96(II: 547-551).
IEEE DOI Reference
9608(Univ. of Southampton, UK)
BibRef
Kim, W.Y.[Whoi-Yul],
Kim, Y.S.[Yong-Sung],
A region-based shape descriptor using Zernike moments,
SP:IC(16), No. 1-2, September 2000, pp. 95-102.
WWW Version.
0008
BibRef
Shao, Y.[Yuan],
Celenk, M.[Mehmet],
Higher-order spectra (HOS) invariants for shape recognition,
PR(34), No. 11, November 2001, pp. 2097-2113.
WWW Version.
0108
BibRef
Osowski, S.[Stanislaw],
Nghia, D.D.[Do Dinh],
Fourier and wavelet descriptors for shape recognition using neural
networksa comparative study,
PR(35), No. 9, September 2002, pp. 1949-1957.
WWW Version.
0206
BibRef
Kindratenko, V.V.[Volodymyr V.],
On Using Functions to Describe the Shape,
JMIV(18), No. 3, May 2003, pp. 225-245.
WWW Version.
0304
BibRef
Kindratenko, V.,
van Espen, P.,
Classification of Irregularly Shaped Micro-Objects Using
Complex Fourier Descriptors,
ICPR96(II: 285-289).
IEEE DOI Reference
9608(Univ. of Antwerpen, B)
BibRef
Kuthirummal, S.[Sujit],
Jawahar, C.V.,
Narayanan, P.J.,
Fourier domain representation of planar curves for recognition in
multiple views,
PR(37), No. 4, April 2004, pp. 739-754.
WWW Version.
0403
BibRef
Kuthirummal, S.[Sujit],
Jawahar, C.V.,
Narayanan, P.J.,
Constraints on Coplanar Moving Points,
ECCV04(Vol IV: 168-179).
WWW Version.
0405
BibRef
Kuthirummal, S.,
Jawahar, C.V.,
Narayanan, P.J.,
Planar shape recognition across multiple views,
ICPR02(I: 456-459).
IEEE DOI Reference
0211
BibRef
Díaz de León, R.[Rocio],
Sucar, L.E.[Luis Enrique],
Human Silhouette Recognition with Fourier Descriptors,
ICPR00(Vol III: 709-712).
IEEE DOI Reference
0009
BibRef
Ghorbel, F.,
Stability of invariant Fourier descriptors and its inference in the
shape classification,
ICPR92(III:130-133).
IEEE DOI Reference
9208
BibRef
Chapter on Registration, Matching and Recognition Using Points, Lines, Regions, Areas, Surfaces continues in
Matching, Descriptions Using Moments .